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Simplifying 3(4z + -1) + -5(z + 5) = 5(z + 1) Reorder the terms: 3(-1 + 4z) + -5(z + 5) = 5(z + 1) (-1 * 3 + 4z * 3) + -5(z + 5) = 5(z + 1) (-3 + 12z) + -5(z + 5) = 5(z + 1) Reorder the terms: -3 + 12z + -5(5 + z) = 5(z + 1) -3 + 12z + (5 * -5 + z * -5) = 5(z + 1) -3 + 12z + (-25 + -5z) = 5(z + 1) Reorder the terms: -3 + -25 + 12z + -5z = 5(z + 1) Combine like terms: -3 + -25 = -28 -28 + 12z + -5z = 5(z + 1) Combine like terms: 12z + -5z = 7z -28 + 7z = 5(z + 1) Reorder the terms: -28 + 7z = 5(1 + z) -28 + 7z = (1 * 5 + z * 5) -28 + 7z = (5 + 5z) Solving -28 + 7z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -28 + 7z + -5z = 5 + 5z + -5z Combine like terms: 7z + -5z = 2z -28 + 2z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 -28 + 2z = 5 + 0 -28 + 2z = 5 Add '28' to each side of the equation. -28 + 28 + 2z = 5 + 28 Combine like terms: -28 + 28 = 0 0 + 2z = 5 + 28 2z = 5 + 28 Combine like terms: 5 + 28 = 33 2z = 33 Divide each side by '2'. z = 16.5 Simplifying z = 16.5
| 3y=18 | | 7y-8=3y+6 | | 3x+16=5x-4 | | 5(2z-1)-2(z+5)=5(z+1) | | 14x+3=5x-3 | | 3-4x=11-6x | | 2-4x=5-x | | 5(5x+6)=40 | | 10y-.5=2.35 | | t-5=4t-17 | | 2(2c-3)=14 | | 2x-8=1-x | | 6X-19=2X+5 | | 6x-19=x-9 | | 5x+13=69 | | 5x+14=78 | | 12c^2-40c-32=0 | | 3x+2y+4=0 | | 3x+2Y=0 | | -4x-8.1=3.9 | | h(-5)=8x^2+2 | | 5x-y=-24 | | 6y+9x=-17 | | x*2*45-98x=21 | | 4c^2+10c=-7 | | 5x+4y=9 | | 3z-(5z+7)=7+(1z+0) | | n-5=8 | | 4.5+6+5.8= | | 2(x+5)=3-(4-3x) | | 8(n-3)+4n=12n+3 | | 21n+6(n-2)=42 |